name
stringlengths
2
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module
stringlengths
6
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deps
listlengths
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allowCompletion
bool
2 classes
Mathlib.Tactic.BicategoryLike.StructuralAtom.id.elim
Mathlib.Tactic.CategoryTheory.Coherence.Datatypes
[ "PULift.up", "Lean.Expr", "Mathlib.Tactic.BicategoryLike.StructuralAtom", "Mathlib.Tactic.BicategoryLike.Mor₁", "Mathlib.Tactic.BicategoryLike.StructuralAtom.id", "Nat", "Mathlib.Tactic.BicategoryLike.StructuralAtom.ctorIdx", "Eq.symm", "Eq", "Mathlib.Tactic.BicategoryLike.StructuralAtom.ctorElim"...
false
UInt8._sizeOf_inst
Init.SizeOf
[ "UInt8._sizeOf_1", "SizeOf.mk", "SizeOf", "UInt8" ]
false
Int.reduceNeg._regBuiltin.Int.reduceNeg.declare_1._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.Int.2123988823._hygCtx._hyg.22
Lean.Meta.Tactic.Simp.BuiltinSimprocs.Int
[ "Int.reduceNeg", "IO", "Bool.true", "Unit", "Lean.Meta.Simp.addSEvalprocBuiltinAttr", "Sum.inr", "Lean.Meta.Simp.DSimproc", "Lean.Name.mkStr2", "Lean.Meta.Simp.Simproc" ]
false
_private.Mathlib.Geometry.Manifold.ContMDiff.Defs.0.contMDiffOn_iff_target._simp_1_1
Mathlib.Geometry.Manifold.ContMDiff.Defs
[ "extChartAt", "NormedSpace", "PartialEquiv.target", "ContDiffOn", "Function.comp", "PartialEquiv.symm", "IsManifold", "Set.instInter", "Inter.inter", "TopologicalSpace", "ModelWithCorners", "And", "contMDiffOn_iff", "Set.preimage", "ENat", "propext", "NontriviallyNormedField", "Par...
false
_private.Mathlib.Data.Set.Finite.Basic.0.Finset.exists.match_1_3
Mathlib.Data.Set.Finite.Basic
[ "Finset", "Set.Finite", "Exists", "Exists.casesOn", "Set.Finite.toFinset", "Exists.intro", "Set" ]
false
UnitAddTorus.mFourierLp._proof_7
Mathlib.Analysis.Fourier.AddCircleMulti
[ "Real.partialOrder", "Real", "Function.compactSpace", "Pi.topologicalSpace", "Real.instZero", "Real.instRCLike", "Real.instZeroLEOneClass", "NeZero.charZero_one", "AddGroupWithOne.toAddMonoidWithOne", "PseudoMetricSpace.toUniformSpace", "AddCommGroup.toAddGroup", "Real.instRing", "Real.instA...
false
IsAbsoluteValue.abv_nonneg
Mathlib.Algebra.Order.AbsoluteValue.Basic
[ "IsAbsoluteValue.abv_nonneg'", "PartialOrder.toPreorder", "NonUnitalNonAssocSemiring.toMulZeroClass", "Preorder.toLE", "PartialOrder", "LE.le", "NonAssocSemiring.toNonUnitalNonAssocSemiring", "IsAbsoluteValue", "Semiring", "Zero.toOfNat0", "OfNat.ofNat", "Semiring.toNonAssocSemiring", "MulZe...
true
EReal.coe_ennreal_le_coe_ennreal_iff._simp_1
Mathlib.Data.EReal.Basic
[ "EReal.coe_ennreal_le_coe_ennreal_iff", "PartialOrder.toPreorder", "EReal", "Preorder.toLE", "LE.le", "ENNReal.toEReal", "ENNReal", "propext", "instPartialOrderEReal", "ENNReal.instPartialOrder", "Eq" ]
false
CategoryTheory.nerveFunctor.full
Mathlib.AlgebraicTopology.SimplicialSet.NerveAdjunction
[ "CategoryTheory.Cat.category", "CategoryTheory.nerve.instFullCatTruncatedOfNatNatNerveFunctor₂", "CategoryTheory.Functor", "Opposite", "CategoryTheory.Functor.category", "SSet.Truncated", "CategoryTheory.Functor.comp", "CategoryTheory.nerveFunctor", "instOfNatNat", "SSet", "CategoryTheory.Cat", ...
true
CategoryTheory.Presieve.BindStruct.hg
Mathlib.CategoryTheory.Sites.Sieves
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Presieve", "CategoryTheory.Presieve.BindStruct.Y", "CategoryTheory.Presieve.BindStruct.f", "CategoryTheory.Presieve.BindStruct.g", "CategoryTheory.Presieve.BindStruct.hf", "CategoryTheory.Category.toCategoryStruct", "CategoryThe...
true
Pi.comul_coe_finsupp
Mathlib.RingTheory.Coalgebra.Basic
[ "CoalgebraStruct", "Finsupp.instFunLike", "Pi.Function.module", "Pi.addCommMonoid", "Finsupp.module", "congrArg", "CommSemiring.toSemiring", "TensorProduct.addCommMonoid", "Pi.module", "AddMonoid.toAddZeroClass", "LinearMap.instFunLike", "AddZeroClass.toAddZero", "id", "TensorProduct.map",...
true
ModuleCat.monModuleEquivalenceAlgebraForget._proof_5
Mathlib.CategoryTheory.Monoidal.Internal.Module
[ "CommRing", "instHSMul", "ModuleCat", "AlgCat.instCategory", "DistribMulAction.toDistribSMul", "AddCommGroup.toAddCommMonoid", "ModuleCat.MonModuleEquivalenceAlgebra.functor", "AddMonoid.toAddZeroClass", "AlgCat", "AddZeroClass.toAddZero", "Algebra.toModule", "id", "DistribSMul.toSMulZeroCla...
false
CategoryTheory.Limits.prod.mapIso_hom
Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Iso", "CategoryTheory.Limits.prod.mapIso", "CategoryTheory.Limits.HasBinaryProduct", "Eq.refl", "CategoryTheory.Category.toCategoryStruct", "CategoryTheory.Iso.hom", "Eq", "CategoryTheory.Limits.prod", "CategoryTheory.Catego...
true
_private.Init.Data.BitVec.Lemmas.0.BitVec.toNat_lt_of_msb_false._simp_1_1
Init.Data.BitVec.Lemmas
[ "Decidable", "false_eq_decide_iff", "propext", "Bool", "Bool.false", "Decidable.decide", "Eq", "Not" ]
false
Lean.Server.Snapshots.Snapshot.recOn
Lean.Server.Snapshots
[ "Lean.Server.Snapshots.Snapshot", "Lean.Server.Snapshots.Snapshot.rec", "Lean.Syntax", "Lean.Parser.ModuleParserState", "Lean.Elab.Command.State", "Lean.Server.Snapshots.Snapshot.mk" ]
false
AddLocalization.liftOn₂_mk
Mathlib.GroupTheory.MonoidLocalization.Basic
[ "AddCon.instFunLikeForallProp", "AddCon", "Prod.instAdd", "AddMonoid.toAddZeroClass", "Membership.mem", "AddZeroClass.toAddZero", "Subtype", "AddSubmonoid.add", "Prod.mk", "AddSubmonoid", "AddCommMonoid", "AddZero.toAdd", "AddLocalization.liftOn₂", "AddCommMonoid.toAddMonoid", "Prod", ...
true
CategoryTheory.Functor.Monoidal.whiskerLeft_app_snd
Mathlib.CategoryTheory.Monoidal.Cartesian.FunctorCategory
[ "CategoryTheory.Functor", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.SemiCartesianMonoidalCategory.snd", "CategoryTheory.Monoidal.functorCategoryMonoidalStruct", "Category...
true
Polynomial.map_evalRingHom_eval
Mathlib.Algebra.Polynomial.Bivariate
[ "Eq.mpr", "Polynomial.eval", "Polynomial.eval_map", "congrArg", "CommSemiring.toSemiring", "id", "Polynomial.eval₂", "Polynomial", "Polynomial.evalEval", "CommSemiring", "Polynomial.eval₂_evalRingHom", "Polynomial.semiring", "Eq.refl", "Polynomial.map", "Polynomial.evalRingHom", "Eq" ]
true
MulArchimedeanClass.mk_right_le_mk_mul_iff._simp_2
Mathlib.Algebra.Order.Archimedean.Class
[ "HMul.hMul", "IsOrderedMonoid", "Monoid.toMulOneClass", "LinearOrder", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", "MulOne.toMul", "DivInvMonoid.toMonoid", "LE.le", "CommGroup", "MulArchimedeanClass.mk", "MulArchimedeanClass.mk_r...
false
Units.isOpenMap_val
Mathlib.Analysis.Normed.Ring.Units
[ "Units.val", "NormedRing.toRing", "Topology.IsOpenEmbedding.isOpenMap", "Units.instTopologicalSpaceUnits", "HasSummableGeomSeries", "PseudoMetricSpace.toUniformSpace", "Units", "IsOpenMap", "NormedRing.toSeminormedRing", "SeminormedRing.toPseudoMetricSpace", "UniformSpace.toTopologicalSpace", ...
true
IsSemisimpleModule.recOn
Mathlib.RingTheory.SimpleModule.Basic
[ "Submodule", "AddCommGroup.toAddCommMonoid", "Submodule.completeLattice", "CompleteLattice.toConditionallyCompleteLattice", "CompleteLattice.toBoundedOrder", "AddCommGroup", "IsSemisimpleModule.rec", "ComplementedLattice", "IsSemisimpleModule", "ConditionallyCompleteLattice.toLattice", "Module",...
false
Pi.instSub
Mathlib.Algebra.Notation.Pi.Defs
[ "HSub.hSub", "Sub.mk", "instHSub", "Sub" ]
true
_private.Mathlib.CategoryTheory.GlueData.0.CategoryTheory.GlueData.π_epi._proof_1
Mathlib.CategoryTheory.GlueData
[ "CategoryTheory.GlueData.diagram", "CategoryTheory.Limits.MultispanShape.prod", "CategoryTheory.Limits.hasColimitOfHasColimitsOfShape", "CategoryTheory.Epi", "CategoryTheory.Limits.MultispanShape.L", "CategoryTheory.Discrete.functor", "CategoryTheory.GlueData.sigmaOpens", "CategoryTheory.GlueData.J", ...
false
Set.Definable.compl
Mathlib.ModelTheory.Definability
[ "Set.ext", "Eq.mpr", "FirstOrder.Language.withConstantsStructure", "Set.Definable", "congrArg", "Compl.compl", "Iff.rfl", "setOf", "Membership.mem", "Set.Elem", "id", "FirstOrder.Language.withConstants", "Set.instCompl", "Set.mem_setOf", "FirstOrder.Language.Structure", "Iff", "Exist...
true
PresheafOfModules.instIsLocalizationSheafOfModulesSheafificationInverseImageFunctorOppositeAbWToPresheaf
Mathlib.Algebra.Category.ModuleCat.Sheaf.Localization
[ "Eq.mpr", "CategoryTheory.MorphismProperty", "CategoryTheory.Functor", "Opposite", "CategoryTheory.CategoryStruct.toQuiver", "AddCommGrpCat.instCategory", "Quiver.Hom", "congrArg", "CategoryTheory.MorphismProperty.inverseImage", "PresheafOfModules.sheafification", "PresheafOfModules.instFullShea...
true
left_subset_compRel
Mathlib.Topology.UniformSpace.Defs
[ "SetRel", "Membership.mem", "_private.Mathlib.Topology.UniformSpace.Defs.0.left_subset_compRel.match_1_1", "Prod.mk", "HasSubset.Subset", "Prod.fst", "SetRel.comp", "And", "idRel", "And.intro", "Exists.intro", "Prod", "Set.instMembership", "rfl", "Set.instHasSubset", "Set" ]
true
Std.DHashMap.get?_eq_some_getD
Std.Data.DHashMap.Lemmas
[ "Eq.mpr", "Option.some", "LawfulBEq", "Membership.mem", "id", "Std.DHashMap.instMembership", "Bool.true", "Std.DHashMap.get?_eq_some_getD_of_contains", "Std.DHashMap.contains", "implies_congr", "_private.Std.Data.DHashMap.Lemmas.0.Std.DHashMap.get?_eq_some_getD._simp_1_1", "Std.DHashMap.getD",...
true
Finset.sup_eq_sSup_image
Mathlib.Data.Finset.Lattice.Fold
[ "Eq.mpr", "Lattice.toSemilatticeSup", "CompleteLattice.toLattice", "congrArg", "Finset", "PartialOrder.toPreorder", "Classical.propDecidable", "Preorder.toLE", "Function.comp", "CompleteLattice.toBoundedOrder", "Finset.coe_image", "id", "SetLike.coe", "Finset.instSetLike", "Finset.sup_im...
true
AddCommMonCat.instConcreteCategoryAddMonoidHomCarrier
Mathlib.Algebra.Category.MonCat.Basic
[ "AddCommMonCat.instCategory", "CategoryTheory.ConcreteCategory.mk", "AddMonoid.toAddZeroClass", "AddCommMonCat.Hom.hom'", "AddCommMonCat", "AddZeroClass.toAddZero", "_private.Mathlib.Algebra.Category.MonCat.Basic.0.AddCommMonCat.Hom.mk", "AddCommMonCat.instConcreteCategoryAddMonoidHomCarrier._proof_3"...
true
Ordinal.typein_lt_nat
Mathlib.SetTheory.Ordinal.Arithmetic
[ "Fintype.card_congr", "Eq.mpr", "Fintype.card_fin", "Preorder.toLT", "Fin.equivSubtype", "isWellOrder_lt", "Ordinal.partialOrder", "congrArg", "Subtype.wellFoundedLT", "PartialOrder.toPreorder", "Subtype.instLinearOrder", "PrincipalSeg.toRelEmbedding", "Membership.mem", "SemilatticeInf.toP...
true
_private.Mathlib.Probability.Distributions.Exponential.0.ProbabilityTheory.cdf_expMeasure_eq._simp_1_3
Mathlib.Probability.Distributions.Exponential
[ "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "AddMonoid.toAddZeroClass", "AddLeftMono", "Left.neg_nonpos_iff", "AddZeroClass.toAddZero", "SubtractionMonoid.toSubNegZeroMonoid", "LE.le", "SubNegZeroMonoid.toNegZeroClass", "LE", "AddGroup", "AddGroup.toSubNegMonoid", "propext", "Add...
false
CategoryTheory.Functor.OplaxMonoidal.instIsIsoη
Mathlib.CategoryTheory.Monoidal.Cartesian.Basic
[ "CategoryTheory.Functor", "CategoryTheory.IsIso", "CategoryTheory.Functor.OplaxMonoidal.η_of_cartesianMonoidalCategory", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.PreservesLimitsOfShape.preservesLimit", "Eq.rec", "PEmpty", "CategoryTheory.SemiCartesianMonoidalCat...
true
WCovBy.eq_or_covBy._to_dual_1
Mathlib.Order.Cover
[ "Preorder.toLT", "CovBy", "PartialOrder.toPreorder", "PartialOrder", "WCovBy", "Iff.mp", "Or", "wcovBy_iff_eq_or_covBy._to_dual_1", "Eq" ]
false
CompactExhaustion.mk.inj
Mathlib.Topology.Compactness.SigmaCompact
[ "Set.univ", "HasSubset.Subset", "instOfNatNat", "CompactExhaustion.mk.noConfusion", "TopologicalSpace", "CompactExhaustion.mk", "instHAdd", "HAdd.hAdd", "Nat", "interior", "eq_of_heq", "instAddNat", "HEq", "CompactExhaustion", "OfNat.ofNat", "Eq", "Set.iUnion", "IsCompact", "Set....
true
Fin.shiftLeft
Init.Data.Fin.Basic
[ "HShiftLeft.hShiftLeft", "Fin.mk", "Nat.instMod", "instHMod", "HMod.hMod", "Nat", "LT.lt", "Fin.shiftLeft._proof_1", "instHShiftLeftOfShiftLeft", "instLTNat", "Fin", "Nat.instShiftLeft", "Fin.add.match_1" ]
true
Matrix.uniqueEquiv_symm_apply
Mathlib.LinearAlgebra.Matrix.Unique
[ "Matrix.uniqueEquiv", "Equiv.instEquivLike", "Matrix", "Unique", "Matrix.of", "Equiv", "Eq.refl", "Equiv.symm", "Eq", "DFunLike.coe", "EquivLike.toFunLike" ]
true
_private.Mathlib.Analysis.Normed.Lp.PiLp.0.PiLp.lipschitzWith_ofLp_aux._simp_1_3
Mathlib.Analysis.Normed.Lp.PiLp
[ "forall_true_left", "True", "propext", "Eq", "True.intro" ]
false
Mathlib.Tactic.Abel._aux_Mathlib_Tactic_Abel___macroRules_Mathlib_Tactic_Abel_abel1!_1
Mathlib.Tactic.Abel
[ "Pure.pure", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.Syntax.atom", "Lean.TSyntax.mk", "Lean.Syntax", "ReaderT.instMonad", "Lean.TSy...
false
CategoryTheory.Pseudofunctor.whiskerLeft_mapId_inv_assoc
Mathlib.CategoryTheory.Bicategory.Functor.Pseudofunctor
[ "CategoryTheory.Category.assoc", "CategoryTheory.Pseudofunctor.mapId", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Bicategory.rightUnitor", "CategoryTheory.CategoryStruct.id", "Eq.mp", "id", "CategoryTheory.PrelaxFunctorStruct.map₂", "CategoryTheory.Pseudo...
true
IntermediateField.exists_algHom_of_splits_of_aeval
Mathlib.FieldTheory.Extension
[ "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "IntermediateField.exists_algHom_of_adjoin_splits_of_aeval", "CommRing.toNonUnitalCommRing", "IntermediateField.adjoin_univ", "CommSemiring.toSemiring", "AlgHom", "Set.univ", "AlgHom.funLike", "Polynomial.algebraOfAlgebra", "Algebra", "NonUnitalNo...
true
Finset.nontrivial_iff_ne_singleton
Mathlib.Data.Finset.Insert
[ "Finset", "Finset.Nontrivial.ne_singleton", "Membership.mem", "Or.resolve_left", "Ne", "Finset.eq_singleton_or_nontrivial", "Iff", "Finset.instSetLike", "Finset.Nontrivial", "Iff.intro", "Finset.instSingleton", "Singleton.singleton", "Eq", "SetLike.instMembership" ]
true
PartOrdEmb.dual._proof_1
Mathlib.Order.Category.PartOrdEmb
[ "PartOrdEmb.str", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "PartialOrder.toPreorder", "CategoryTheory.CategoryStruct.id", "PartOrdEmb.Hom.hom", "id", "PartOrdEmb.ofHom", "PartOrdEmb.instCategory", "PartOrdEmb.carrier", "OrderDual.instPartialOrder", "Eq.refl", "CategoryTheory.C...
false
Plausible.InjectiveFunction.sliceSizes.eq_def
Mathlib.Testing.Plausible.Functions
[ "MLList.nil", "Eq.mpr", "instHDiv", "congrArg", "InvImage", "WellFounded.Nat.fix", "Plausible.InjectiveFunction.sliceSizes._proof_4", "WellFounded.Nat.fix_eq", "id", "HDiv.hDiv", "Nat.div_lt_self", "Plausible.InjectiveFunction.sliceSizes", "instOfNatNat", "Id", "dite", "Subtype.mk", ...
true
pure_le_nhds
Mathlib.Topology.Neighborhoods
[ "Pure.pure", "Filter.instMembership", "Iff.mpr", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "nhds", "LE.le", "mem_of_mem_nhds", "Pi.hasLe", "TopologicalSpace", "Filter.instPure", "Set.instMembership", "Filter", "Filter.instPartialOrder", "Filter.mem_pure", "Set" ]
true
_private.Init.Data.BitVec.Bitblast.0.BitVec.ult_eq_not_carry._simp_1_5
Init.Data.BitVec.Bitblast
[ "Decidable", "decide_eq_decide", "Iff", "propext", "Bool", "Decidable.decide", "Eq" ]
false
Lean.Elab.Term.MutualClosure.FixPoint.run
Lean.Elab.MutualDef
[ "StateT.run", "Unit.unit", "Lean.Elab.Term.MutualClosure.FixPoint.State", "_private.Lean.Elab.MutualDef.0.Lean.Elab.Term.MutualClosure.FixPoint.fixpoint", "Lean.FVarId", "_private.Lean.Elab.MutualDef.0.Lean.Elab.Term.MutualClosure.FixPoint.run.match_1", "Id", "Array", "Unit", "ReaderT.run", "Sta...
true
Function.HasFiniteSupport.sup
Mathlib.Algebra.FiniteSupport.Basic
[ "Set.Finite.union", "Function.HasFiniteSupport", "Set.instUnion", "SemilatticeSup.toMax", "Set.Finite.subset", "Function.support_sup", "Max.max", "Function.support", "Union.union", "SemilatticeSup", "Zero", "Set" ]
true
NonemptyFinLinOrd.ofHom
Mathlib.Order.Category.NonemptyFinLinOrd
[ "NonemptyFinLinOrd.of", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "LinearOrder", "PartialOrder.toPreorder", "LinOrd.carrier", "SemilatticeInf.toPartialOrder", "LinOrd.str", "DistribLattice.toLattice", "OrderHom.instFunLike", "NonemptyFinLinOrd.instLargeCategory", "Fintype", "Ca...
true
Ideal.under_under
Mathlib.RingTheory.Ideal.Over
[ "RingHom.instRingHomClass", "congrArg", "CommSemiring.toSemiring", "IsScalarTower", "Algebra", "RingHom", "Algebra.toSMul", "algebraMap", "id", "Ideal", "CommSemiring", "Ideal.comap.congr_simp", "_private.Mathlib.RingTheory.Ideal.Over.0.Ideal.under_under._simp_1_1", "RingHom.comp", "Ring...
true
_private.Init.Data.Int.LemmasAux.0.Int.min_assoc._proof_1_1
Init.Data.Int.LemmasAux
[ "Lean.Omega.LinearCombo.coordinate_eval_6", "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Lean.Omega.Constraint.combine_sat'", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Int.decLe", "Lean.Om...
false
List.infix_filter_iff
Init.Data.List.Sublist
[ "Eq.mpr", "Option.guard", "congrArg", "Iff.rfl", "Exists", "id", "List.IsInfix", "List", "And", "Iff", "List.filter", "propext", "Bool", "List.infix_filterMap_iff", "List.filterMap", "Eq.symm", "Eq", "List.filterMap_eq_filter" ]
true
Std.Do.SPred.true_intro
Std.Do.SPred.DerivedLaws
[ "Std.Do.SPred.entails", "trivial", "Std.Do.SPred.pure", "List", "True", "Std.Do.SPred", "Std.Do.SPred.pure_intro" ]
true
_private.Mathlib.Tactic.Abel.0.Mathlib.Tactic.Abel.addG.match_1
Mathlib.Tactic.Abel
[ "String", "Nat.hasNotBit", "Lean.Name.ctorIdx", "Lean.Name.str", "_private.Mathlib.Tactic.Abel.0.Mathlib.Tactic.Abel.addG._sparseCasesOn_1", "Lean.Name" ]
false
BoxIntegral.Box.Ioo_subset_coe
Mathlib.Analysis.BoxIntegral.Box.Basic
[ "Real", "trivial", "BoxIntegral.Box.toSet", "PartialOrder.toPreorder", "Membership.mem", "BoxIntegral.Box.upper", "CompleteLattice.toConditionallyCompleteLattice", "HasSubset.Subset", "BoxIntegral.Box.instPartialOrder", "OrderHom.instFunLike", "BoxIntegral.Box.lower", "Set.Ioo_subset_Ioc_self"...
true
FormalMultilinearSeries.coeff_eq_zero
Mathlib.Analysis.Calculus.FormalMultilinearSeries
[ "Eq.mpr", "NormedCommRing.toSeminormedCommRing", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "NormedSpace.toIsBoundedSMul", "UniformContinuousConstSMul.to_continuousConstSMul", "CommRing.toNonUnitalCommRing", "NormedSpace", "IsTopologicalRing.toIsTopologicalSemiring", "co...
true
_private.Std.Data.DTreeMap.Internal.Balancing.0.Std.DTreeMap.Internal.Impl.balanceLErase.match_5.splitter
Std.Data.DTreeMap.Internal.Balancing
[ "Std.DTreeMap.Internal.Impl.balanceLErase.match_5", "Std.DTreeMap.Internal.Impl.Balanced", "Std.DTreeMap.Internal.Impl.size", "Std.DTreeMap.Internal.Impl.inner", "Std.DTreeMap.Internal.Impl.leaf", "Nat", "Std.DTreeMap.Internal.Impl", "Std.DTreeMap.Internal.Impl.BalanceLErasePrecond" ]
true
Subsemigroup.range_subtype
Mathlib.Algebra.Group.Subsemigroup.Operations
[ "MulHom", "MulHom.coe_srange", "Subsemigroup.instMulMemClass", "Mul", "Membership.mem", "Subtype", "MulMemClass.mul", "SetLike.coe_injective", "Subtype.range_coe", "SetLike.coe", "Subsemigroup", "MulHom.funLike", "MulHom.srange", "MulMemClass.subtype", "Set.range", "Subsemigroup.instSe...
true
ValuationSubring.instFieldSubtypeMemTop._proof_4
Mathlib.RingTheory.Valuation.ValuationSubring
[ "Ring.toNonAssocRing", "Field.toDivisionRing", "DivisionRing.toRing", "Subfield.instSetLike", "SubringClass", "Subfield.toField._proof_1", "Subfield", "SubfieldClass.toSubringClass", "Field" ]
false
String.Pos.Raw.isValidForSlice_stringSliceTo
Init.Data.String.Basic
[ "String.toSlice", "Eq.mpr", "congrArg", "String.Slice.Pos.offset", "String", "Iff.rfl", "String.Pos.toSlice", "String.Slice", "String.Pos.offset_toSlice", "id", "LE.le", "String.Pos.Raw.isValidForSlice_toSlice_iff", "String.sliceTo.eq_1", "String.Pos.Raw", "String.Pos.Raw.IsValidForSlice...
true
Lean.Meta.instInhabitedUnificationHints.default
Lean.Meta.UnificationHint
[ "Inhabited.default", "Lean.Meta.DiscrTree.instInhabited", "Lean.Meta.UnificationHints", "Lean.Name", "Lean.Meta.UnificationHints.mk", "Lean.Meta.UnificationHintTree" ]
true
_private.Mathlib.Data.List.Basic.0.List.erase_getElem._proof_1_6
Mathlib.Data.List.Basic
[ "Lean.RArray.leaf", "Lean.Grind.Nat.lt_eq", "Lean.RArray.branch", "Nat.Linear.ExprCnstr.eq_of_toNormPoly_eq", "id", "instOfNatNat", "LE.le", "instLENat", "Nat.Linear.Expr.num", "List.cons", "Bool.true", "List", "instHAdd", "HAdd.hAdd", "Nat", "LT.lt", "Eq.substr", "Bool", "instAd...
false
CategoryTheory.Triangulated.TStructure.truncGEδLT_comp_truncLTι_app
Mathlib.CategoryTheory.Triangulated.TStructure.TruncLTGE
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Triangulated.TStructure.truncGE", "CategoryTheory.Functor.Additive", "CategoryTheory.Functor.comp", "CategoryTheory.shiftFunctor", "CategoryTheory.Functor.id", "CategoryTheory.Triangulated.TStructure.truncLTι", "CategoryTheory.P...
true
Lean.Omega.LinearCombo.coordinate_eval_0
Init.Omega.LinearCombo
[ "Lean.Omega.Coeffs.get", "congrArg", "Lean.Omega.LinearCombo.eval", "instOfNatNat", "Int", "List.cons", "List", "Lean.Omega.Coeffs.ofList", "Nat", "True", "eq_self", "Lean.Omega.LinearCombo.coordinate", "of_eq_true", "congrFun'", "Lean.Omega.LinearCombo.coordinate_eval", "Lean.Omega.In...
true
Bundle.Pretrivialization.linearMapAt_def_of_notMem
Mathlib.Topology.VectorBundle.Basic
[ "Bundle.Pretrivialization.IsLinear", "Classical.propDecidable", "Membership.mem", "dif_neg", "LinearMap", "AddCommMonoid", "Bundle.Pretrivialization", "TopologicalSpace", "Bundle.TotalSpace.proj", "LinearEquiv.toLinearMap", "Bundle.TotalSpace", "RingHomInvPair.ids", "Semiring", "Bundle.Pre...
true
AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.isLocallyFraction
Mathlib.AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf
[ "SetLike", "CommRing", "AddGroupWithOne.toAddGroup", "CommSemiring.toSemiring", "AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.IsFraction._proof_1", "Nat.instAddMonoid", "AddSubgroupClass.toAddSubmonoidClass", "ProjectiveSpectrum.top", "CommRing.toCommSemiring", "GradedRing", "TopCat.carri...
true
List.eq_nil_of_map_eq_nil
Init.Data.List.Lemmas
[ "List.map", "List.map_eq_nil_iff", "List", "Iff.mp", "Eq", "List.nil" ]
true
Lean.Elab.ContextInfo.parentDecl?._default
Lean.Elab.InfoTree.Types
[ "id", "Option.none", "Lean.Name", "Option" ]
false
CategoryTheory.OplaxFunctor.comp
Mathlib.CategoryTheory.Bicategory.Functor.Oplax
[ "CategoryTheory.OplaxFunctor.comp._proof_6", "CategoryTheory.OplaxFunctor.mk", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.OplaxFunctor.comp._proof_2", "CategoryTheory.OplaxFunctor.mapComp", "CategoryTheory.CategoryStruct.id", "CategoryTheory.OplaxFunctor.toPrelaxFunctor", ...
true
_private.Lean.Widget.InteractiveDiagnostic.0.Lean.Widget.msgToInteractive.match_3
Lean.Widget.InteractiveDiagnostic
[ "Lean.Widget.StrictOrLazy", "Lean.MessageData", "Unit.unit", "_private.Lean.Widget.InteractiveDiagnostic.0.Lean.Widget.EmbedFmt", "Lean.MVarId", "Lean.Widget.WidgetInstance", "_private.Lean.Widget.InteractiveDiagnostic.0.Lean.Widget.EmbedFmt.widget", "_private.Lean.Widget.InteractiveDiagnostic.0.Lean....
false
Associates.FactorSet.prod
Mathlib.RingTheory.UniqueFactorizationDomain.FactorSet
[ "CommMonoidWithZero.toCommMonoid", "Associates.instCommMonoid", "Multiset.map", "Multiset.prod", "Associates.instZero", "Irreducible", "Multiset", "Subtype", "Associates.FactorSet.prod.match_1", "CommMonoidWithZero.toMonoidWithZero", "Unit", "MonoidWithZero.toMulZeroOneClass", "Associates", ...
true
List.length_product
Mathlib.Data.List.ProdSigma
[ "HMul.hMul", "SProd.sprod", "congrArg", "List.map", "List.length_append", "Prod.mk", "instMulNat", "instOfNatNat", "List.rec", "List.instSProd", "List.cons", "Nat.zero_mul", "instHAppendOfAppend", "List", "instHAdd", "HAdd.hAdd", "Nat", "congr", "True", "eq_self", "List.lengt...
true
FirstOrder.Language.IsRelational
Mathlib.ModelTheory.Basic
[ "IsEmpty", "Nat", "FirstOrder.Language.Functions", "FirstOrder.Language" ]
true
Submodule.map.congr_simp
Mathlib.Algebra.Module.Submodule.Map
[ "Submodule", "RingHom", "Eq.rec", "LinearMap", "AddCommMonoid", "Semiring", "Eq.refl", "RingHomSurjective", "Module", "Submodule.map", "Semiring.toNonAssocSemiring", "Eq" ]
true
CategoryTheory.ShortComplex.moduleCat_exact_iff
Mathlib.Algebra.Homology.ShortComplex.ModuleCat
[ "ModuleCat", "CategoryTheory.ConcreteCategory.hom", "AddCommGroup.toAddCommMonoid", "CategoryTheory.ShortComplex", "LinearMap.instFunLike", "CategoryTheory.ShortComplex.X₁", "CategoryTheory.ShortComplex.exact_iff_of_hasForget", "Exists", "SubtractionMonoid.toSubNegZeroMonoid", "ModuleCat.instConcr...
true
CategoryTheory.IsCofiltered.nonempty
Mathlib.CategoryTheory.Filtered.Basic
[ "CategoryTheory.IsCofiltered", "Nonempty", "CategoryTheory.Category" ]
true
Lean.Widget.inst._@.Lean.Widget.Basic.2038268869._hygCtx._hyg.3
Lean.Widget.Basic
[ "TypeName", "Classical.ofNonempty", "instNonemptyTypeName", "Lean.Elab.InfoWithCtx" ]
false
_private.Lean.Meta.Tactic.Grind.Split.0.Lean.Meta.Grind.SplitCandidate.noConfusionType
Lean.Meta.Tactic.Grind.Split
[ "Nat", "_private.Lean.Meta.Tactic.Grind.Split.0.Lean.Meta.Grind.SplitCandidate.casesOn", "Lean.Meta.Grind.SplitInfo", "Bool", "Eq", "_private.Lean.Meta.Tactic.Grind.Split.0.Lean.Meta.Grind.SplitCandidate" ]
false
CategoryTheory.Retract.op_i
Mathlib.CategoryTheory.Retract
[ "Opposite", "CategoryTheory.Retract.op", "Quiver.opposite", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "Quiver.Hom.op", "CategoryTheory.Retract.i", "CategoryTheory.Retract", "CategoryTheory.Retract.r", "Opposite.op", "CategoryTheory.Category.opposite", "Eq.refl", "CategoryTheory...
true
_private.Std.Data.DHashMap.Internal.WF.0.Std.DHashMap.Internal.Raw₀.isHashSelf_filterMapₘ._simp_1_2
Std.Data.DHashMap.Internal.WF
[ "Option.some", "Exists", "Option.map", "And", "propext", "Eq", "Option.map_eq_some_iff", "Option" ]
false
Std.DHashMap.isEmpty_insertMany_list
Std.Data.DHashMap.Lemmas
[ "instForInOfForIn'", "Std.DHashMap.Raw", "inferInstance", "Bool.and", "Std.DHashMap.wf", "instOfNatNat", "Id", "Membership", "LawfulHashable", "Subtype.mk", "List", "EquivBEq", "Std.DHashMap.inner", "List.instMembership", "List.isEmpty", "Nat", "Std.DHashMap.Raw.buckets", "LT.lt", ...
true
CategoryTheory.Limits.spanExt_inv_app_left
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Cospan
[ "CategoryTheory.Functor", "CategoryTheory.Limits.WalkingSpan", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Limits.WalkingSpan.left", "CategoryTheory.Iso", "CategoryTheory.Limits.WalkingPair", "CategoryTheory.Limits.WidePushoutShape.categ...
true
CategoryTheory.IsAccessibleCategory.rec
Mathlib.CategoryTheory.Presentable.LocallyPresentable
[ "CategoryTheory.IsCardinalAccessibleCategory", "Cardinal.IsRegular", "Cardinal", "Exists", "Fact", "CategoryTheory.IsAccessibleCategory.mk", "CategoryTheory.IsAccessibleCategory", "CategoryTheory.Category" ]
false
IntermediateField.isIntegral_iff
Mathlib.FieldTheory.IntermediateField.Algebraic
[ "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "CommRing.toNonUnitalCommRing", "CommSemiring.toSemiring", "IntermediateField", "AlgHom", "AlgHom.funLike", "IntermediateField.toField", "isIntegral_algHom_iff", "Algebra", "Algebra.toSMul", "Membership.mem", "Field.toDivisionRing", "Algebra.t...
true
Lean.PrettyPrinter.Parenthesizer.ident.parenthesizer._regBuiltin.Lean.PrettyPrinter.Parenthesizer.ident.parenthesizer_1
Lean.Parser
[ "Lean.PrettyPrinter.Parenthesizer.ident.parenthesizer", "Lean.Name.mkStr5", "IO", "Lean.PrettyPrinter.Parenthesizer", "Lean.PrettyPrinter.parenthesizerAttribute", "Unit", "Lean.Name.mkStr1", "Lean.KeyedDeclsAttribute.addBuiltin" ]
false
AlgebraicGeometry.Scheme.IdealSheafData.support_antitone
Mathlib.AlgebraicGeometry.IdealSheaf.Basic
[ "Eq.mpr", "AlgebraicGeometry.Scheme.IdealSheafData.support", "AlgebraicGeometry.SheafedSpace.instTopologicalSpaceCarrierCarrier", "AlgebraicGeometry.Scheme", "Semiring.toModule", "Opposite", "CommRingCat.carrier", "AlgebraicGeometry.PresheafedSpace.carrier", "TopologicalSpace.Opens.instPartialOrder"...
true
CategoryTheory.CatCenter.localizationRingHom
Mathlib.CategoryTheory.Center.Localization
[ "CategoryTheory.MorphismProperty", "MulOne.toOne", "CategoryTheory.Functor", "CategoryTheory.CatCenter", "RingHom.mk", "CategoryTheory.Functor.Additive", "OneHom.mk", "CategoryTheory.Functor.category", "CategoryTheory.functorCategoryPreadditive", "RingHom", "CategoryTheory.Functor.id", "Monoid...
true
_private.Std.Time.Date.ValidDate.0.Std.Time.ValidDate.ofOrdinal.go._unary._proof_3
Std.Time.Date.ValidDate
[ "Std.Time.Month.Ordinal.days", "Std.Time.Day.Ordinal.OfYear", "HSub.hSub", "Int.instDecidableEq", "Int", "LE.le", "_private.Std.Time.Date.ValidDate.0.Std.Time.ValidDate.ofOrdinal._proof_2", "instHAdd", "And", "instHSub", "instOfNat", "HAdd.hAdd", "Decidable.byContradiction", "Bool", "Int...
false
Std.DHashMap.Internal.Raw₀.insertIfNew_equiv_congr
Std.Data.DHashMap.Internal.RawLemmas
[ "Std.DHashMap.Raw.WF", "Eq.mpr", "_private.Std.Data.DHashMap.Internal.RawLemmas.0.Std.DHashMap.Internal.Raw₀.insertIfNew_equiv_congr._simp_1_1", "Std.DHashMap.Internal.Raw.WF.out", "Std.DHashMap.Raw", "List.Perm.congr_right", "Std.Internal.List.insertEntryIfNew", "Std.DHashMap.Raw.Equiv.impl", "id",...
true
CategoryTheory.AddMon.Hom.recOn
Mathlib.CategoryTheory.Monoidal.Mon_
[ "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.IsAddMonHom", "CategoryTheory.MonoidalCategory", "CategoryTheory.AddMon.Hom", "CategoryTheory.AddMon.Hom.rec", "CategoryTheory.AddMon.Hom.mk", "CategoryTheory.AddMon.addMon", "CategoryTheory.AddMon.X", "CategoryTheory.Category...
false
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.Equiv.inter_left._simp_1_2
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "beqOfOrd", "Ordering", "Std.DTreeMap.Internal.Impl.compare_ne_iff_beq_eq_false", "Ordering.eq", "Ne", "Ord.compare", "BEq.beq", "propext", "Bool", "Bool.false", "Eq" ]
false
IsCompact.locallyCompactSpace_of_mem_nhds_of_group
Mathlib.Topology.Algebra.Group.Pointwise
[ "Filter.instMembership", "Eq.mpr", "WeaklyLocallyCompactSpace.mk", "DivInvMonoid.toInv", "instHSMul", "ContinuousConstSMul.continuous_const_smul", "HMul.hMul", "DivInvOneMonoid.toInvOneClass", "Monoid.toMulOneClass", "congrArg", "SeparatelyContinuousMul.to_continuousSMul", "ContinuousAt.preima...
true
ringChar.of_eq
Mathlib.Algebra.CharP.Defs
[ "NonAssocSemiring.toAddCommMonoidWithOne", "CharP.congr", "AddCommMonoidWithOne.toAddMonoidWithOne", "NonAssocSemiring", "ringChar", "Nat", "CharP", "Eq", "ringChar.charP" ]
true
WittVector.poly_eq_of_wittPolynomial_bind_eq
Mathlib.RingTheory.WittVector.IsPoly
[ "MvPolynomial.map_bind₁", "Finsupp.instAddZeroClass", "Nat.instCanonicallyOrderedAdd", "wittPolynomial", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "Nat.Prime", "Nat.instOne", "_private.Mathlib.RingTheory.WittVector.IsPoly.0.WittVector.poly_eq_of_wittPolynomial_bind_eq._simp_1_1", "congr...
true
TwoSidedIdeal.orderIsoIsTwoSided_symm_apply
Mathlib.RingTheory.TwoSidedIdeal.Operations
[ "Semiring.toModule", "Ring.toNonAssocRing", "TwoSidedIdeal", "PartialOrder.toPreorder", "Preorder.toLE", "Subtype", "Ideal.IsTwoSided", "RelIso.symm", "Submodule.instPartialOrder", "LE.le", "Ideal", "NonAssocRing.toNonUnitalNonAssocRing", "NonUnitalNonAssocSemiring.toAddCommMonoid", "RelIs...
true
IsPreconnected.eq_one_or_eq_neg_one_of_sq_eq
Mathlib.Topology.Algebra.Field
[ "NegZeroClass.toNeg", "Set.fintypeSingleton", "Pi.instNeg", "Ring.toNonAssocRing", "congrArg", "Finite.Set.finite_insert", "_private.Mathlib.Topology.Algebra.Field.0.IsPreconnected.eq_one_or_eq_neg_one_of_sq_eq._simp_1_1", "AddGroupWithOne.toAddMonoidWithOne", "instInhabitedTrue", "NonUnitalNonAss...
true
Fin.preimage_natAdd_uIoc_natAdd
Mathlib.Order.Interval.Set.Fin
[ "Set.Ioc", "Lattice.toSemilatticeSup", "Fin.natAdd", "StrictMono.monotone", "congrArg", "PartialOrder.toPreorder", "Set.uIoc", "SemilatticeInf.toPartialOrder", "SemilatticeSup.toMax", "DistribLattice.toLattice", "Monotone.map_max", "Fin.preimage_natAdd_Ioc_natAdd", "SemilatticeInf.toMin", ...
true
FirstOrder.Language.Substructure.closure_induction
Mathlib.ModelTheory.Substructures
[ "Iff.mpr", "CompleteLattice.instOmegaCompletePartialOrder", "PartialOrder.toPreorder", "setOf", "Preorder.toLE", "Membership.mem", "FirstOrder.Language.Substructure.instSetLike", "HasSubset.Subset", "LE.le", "FirstOrder.Language.ClosedUnder", "FirstOrder.Language.Substructure", "FirstOrder.Lan...
true
String.utf8ByteSize_sliceFrom
Init.Data.String.Basic
[ "String.toSlice", "String.sliceFrom", "congrArg", "String.Slice.Pos.offset", "String", "HSub.hSub", "String.Slice.sliceFrom", "String.utf8ByteSize", "String.Pos.toSlice", "String.Pos.offset_toSlice", "instSubNat", "String.Slice.utf8ByteSize", "String.Pos.Raw", "instHSub", "String.utf8Byt...
true
CategoryTheory.CartesianClosed.uncurry
Mathlib.CategoryTheory.Monoidal.Closed.Cartesian
[ "CategoryTheory.MonoidalClosed.uncurry", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.MonoidalCategory", "CategoryTheory.MonoidalCategoryStruct.tensorObj", "CategoryTheory.ihom", "CategoryTheory.MonoidalCategory.toMonoidalCategoryStruct", "CategoryTheory.Category.toCategoryS...
true
Mathlib.Tactic.Conv.Path.ctorElimType
Mathlib.Tactic.Widget.Conv
[ "cond", "Nat.ble", "Mathlib.Tactic.Conv.Path.type", "PULift", "Mathlib.Tactic.Conv.Path.arg", "Nat", "Mathlib.Tactic.Conv.Path.fun", "Mathlib.Tactic.Conv.Path.body", "Bool", "Lean.Name", "Mathlib.Tactic.Conv.Path" ]
false